scholarly journals Secondary Quantum Hamiltonian Reductions

1997 ◽  
Vol 185 (3) ◽  
pp. 509-541 ◽  
Author(s):  
Jens Ole Madsen ◽  
Eric Ragoucy
Keyword(s):  

2017 ◽  
Vol 13 (6) ◽  
pp. 551-555 ◽  
Author(s):  
Jianwei Wang ◽  
Stefano Paesani ◽  
Raffaele Santagati ◽  
Sebastian Knauer ◽  
Antonio A. Gentile ◽  
...  
Keyword(s):  


1990 ◽  
Vol 05 (15) ◽  
pp. 3029-3051 ◽  
Author(s):  
EDWARD FARHI ◽  
SAM GUTMANN

A quantum Hamiltonian, defined on the half-line, will typically not lead to unitary time evolution unless the domain of the Hamiltonian is carefully specified. Different choices of the domain result in different Green’s functions. For a wide class of non-relativistic Hamiltonians we show how to define the functional integral on the half-line in a way which matches the various Green’s functions. To do so we analytically continue, in time, functional integrals constructed with real measures that give weight to paths on the half-line according to how much time they spend near the origin.



1992 ◽  
Vol 07 (03) ◽  
pp. 267-267 ◽  
Author(s):  
Toshiya Kawai ◽  
Toshio Nakatsu
Keyword(s):  


1992 ◽  
Vol 07 (20) ◽  
pp. 4885-4898 ◽  
Author(s):  
KATSUSHI ITO

We study the quantum Hamiltonian reduction of affine Lie algebras and the free field realization of the associated W algebra. For the nonsimply laced case this reduction does not agree with the usual coset construction of the W minimal model. In particular, we find that the coset model [Formula: see text] can be obtained through the quantum Hamiltonian reduction of the affine Lie superalgebra B(0, n)(1). To show this we also construct the Feigin-Fuchs representation of affine Lie superalgebras.



2009 ◽  
Vol 79 (6) ◽  
Author(s):  
Jordan Pelc ◽  
Jiangbin Gong ◽  
Paul Brumer
Keyword(s):  


2015 ◽  
Vol 17 (2) ◽  
pp. 022005 ◽  
Author(s):  
Nathan Wiebe ◽  
Christopher Granade ◽  
D G Cory
Keyword(s):  


Symmetry ◽  
2019 ◽  
Vol 11 (8) ◽  
pp. 975
Author(s):  
Dominik Prorok ◽  
Anatolij Prykarpatski

Based on the G. Goldin’s quantum current algebra symmetry representation theory, have succeeded in explaining a hidden relationship between the quantum many-particle Hamiltonian operators, defined in the Fock space, their factorized structure and integrability. Interesting for applications quantum oscillatory Hamiltonian operators are considered, the quantum symmetries of the integrable quantum Calogero-Sutherland model are analyzed in detail.



2014 ◽  
Vol 251-252 ◽  
pp. 155-164 ◽  
Author(s):  
James P. Vary
Keyword(s):  


1994 ◽  
Vol 09 (05) ◽  
pp. 745-758 ◽  
Author(s):  
I. JACK ◽  
J. PANVEL

We construct a quantum Hamiltonian operator for the Wess-Zumino-Witten (WZW) model in terms of the Casimir operator. This facilitates the discussion of the reduction of the WZW model to the Toda field theory at the quantum level and provides a very straightforward derivation of the quantum central charge for the Toda field theory.



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